Let's go through the solution step-by-step, filling in the missing values.
1. Determine the Food Percentage for Each Flock:
- Flock X:
The food percentage is calculated by dividing the food eaten by Flock X by the total food eaten, and then multiplying by 100.
[tex]\[
\text{Food Percentage for Flock X} = \left( \frac{123}{300} \right) \times 100 = 41.0\%
\][/tex]
- Flock Y:
Similarly, for Flock Y:
[tex]\[
\text{Food Percentage for Flock Y} = \left( \frac{99}{300} \right) \times 100 = 33.0\%
\][/tex]
- Flock Z:
For Flock Z:
[tex]\[
\text{Food Percentage for Flock Z} = \left( \frac{78}{300} \right) \times 100 = 26.0\%
\][/tex]
2. Calculate the Simulated Number of Birds for Each Flock (2nd Generation):
- Flock X:
The number of birds for Flock X is calculated by taking the food percentage for Flock X and multiplying it by the total number of birds (30).
[tex]\[
\text{Birds in Flock X} = \left( \frac{41.0}{100} \right) \times 30 = 12.3
\][/tex]
- Flock Y:
Similarly, for Flock Y:
[tex]\[
\text{Birds in Flock Y} = \left( \frac{33.0}{100} \right) \times 30 = 9.9
\][/tex]
- Flock Z:
For Flock Z:
[tex]\[
\text{Birds in Flock Z} = \left( \frac{26.0}{100} \right) \times 30 = 7.8
\][/tex]
Now let's fill in the table with these values:
[tex]\[
\begin{tabular}{|l|l|l|l|}
\hline & \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\
\hline \begin{tabular}{l}
\text{Total Pieces of Food Eaten} \\
\text{(from previous page)}
\end{tabular} & 123 & 99 & 78 \\
\hline \text{Food Percentage} & 41.0 \% & 33.0 \% & 26.0 \% \\
\hline \begin{tabular}{l}
\text{Simulated Number of Birds} \\
\text{in Flock for 2nd Generation}
\end{tabular} & 12.3 & 9.9 & 7.8 \\
\hline
\end{tabular}
\][/tex]
